On Artin representations and nearly ordinary Hecke algebras over totally real fields

Shu Sasaki

doi:10.4171/dm/419

JournalsdmVol. 18pp. 997–1038

On Artin representations and nearly ordinary Hecke algebras over totally real fields

Shu Sasaki
Universität Duisburg-Essen Fakultät für Mathematik Thea-Leymann-Str. 9 45127 Essen, Germany

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Abstract

We prove many new cases of the strong Artin conjecture for two-dimensional, totally odd, insoluble (icosahedral) representations $Gal (\overline{F} / F) \to G L_{2} (C)$ of the absolute Galois group of a totally real field $F$ .

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Shu Sasaki, On Artin representations and nearly ordinary Hecke algebras over totally real fields. Doc. Math. 18 (2013), pp. 997–1038

DOI 10.4171/DM/419